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18920933856 = 2534111953659
BaseRepresentation
bin10001100111110001…
…101000100111100000
31210211122002000210000
4101213301220213200
5302222224340411
612405301140000
71236610166316
oct214761504740
953748060700
1018920933856
11802a412720
1238006ba600
131a26c76466
14cb6c760b6
1575b16c956
hex467c689e0

18920933856 has 480 divisors, whose sum is σ = 65204092800. Its totient is φ = 5321272320.

The previous prime is 18920933813. The next prime is 18920933873. The reversal of 18920933856 is 65833902981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28711255 + ... + 28711913.

It is an arithmetic number, because the mean of its divisors is an integer number (135841860).

Almost surely, 218920933856 is an apocalyptic number.

18920933856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18920933856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32602046400).

18920933856 is an abundant number, since it is smaller than the sum of its proper divisors (46283158944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18920933856 is a wasteful number, since it uses less digits than its factorization.

18920933856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 18920933856 in words is "eighteen billion, nine hundred twenty million, nine hundred thirty-three thousand, eight hundred fifty-six".